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Finding the Fourth Proportional to 5,782,764.44, 7,980,261.84 and 3,204,488.30

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Solution

The fourth proportional to 5,782,764.44, 7,980,261.84 and 3,204,488.30 is: 4,422,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782,764.44 : 7,980,261.84 = 3,204,488.30 : x
  2. Step 2: Convert to fraction form
    5,782,764.44/7,980,261.84 = 3,204,488.30/x
  3. Step 3: Cross multiply
    5,782,764.44x = 7,980,261.84 × 3,204,488.30
  4. Step 4: Simplify right side
    5,782,764.44x = 25,572,655,697,216.47
  5. Step 5: Solve for x
    x = 25,572,655,697,216.47/5,782,764.44
  6. Step 6: Final answer
    x = 4,422,219.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.